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Finding the Fourth Proportional to 3,412.68, 4,708.48 and 2,085

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Solution

The fourth proportional to 3,412.68, 4,708.48 and 2,085 is: 2,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.68 : 4,708.48 = 2,085 : x
  2. Step 2: Convert to fraction form
    3,412.68/4,708.48 = 2,085/x
  3. Step 3: Cross multiply
    3,412.68x = 4,708.48 × 2,085
  4. Step 4: Simplify right side
    3,412.68x = 9,817,180.80
  5. Step 5: Solve for x
    x = 9,817,180.80/3,412.68
  6. Step 6: Final answer
    x = 2,876.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.